Years 9-10 Maths #3

Indices

100

4h x 5h

20h²

200

6f²x7f

42f³

300

36a⁵c⁸ / 9a³c⁷

4a²c

400

(4w⁷)²

16w¹⁴

500

5k⁰ + (5k)⁰

6

Equations

100

y - 5 = 8

y = 13

200

6p = 54

p = 9

300

r/4=7

r = 28

400

2m + 3 = 11

m = 4

500

3c - 7 = 14

c = 7

Pythagoras

100

6² + 8²

100

200

sqrt(169)

13

300

5² - 3²

16

400

Complete this Pythagorean triad: 5, 12, ___

13

500

What is the diagonal length as a surd of a rectangle with sides 4cm and 5cm?

sqrt(41)

Measurement

100

What is the perimeter of a regular pentagon with side length 7 cm?

35 cm

200

What is the area of a triangle with base 12 m and height 7 m?

42 m²

300

What is the area of a rhombus with diagonal lengths of 8 cm and 12 cm?

48 cm²

400

What is the perimeter of a regular hexagon of side length 9 cm?

54 cm

500

What is the area of a trapezium with parallel sides of 4 cm and 8 cm and height of 6 cm?

36 cm^2

Conversions

100

Convert 18.04 m into centimetres

1804 cm

200

Convert 47 mL into litres

0.047 L

300

Convert 450 mg into grams

0.45 g

400

Convert 420 minutes into hours

7 hours

500

Convert 3 m² to cm²

30 000 cm²